A cart is attached to a hanging mass by a string that passes over a pulley. Draw free-body diagrams for the cart and the hanging mass. (clearly label all forces present and indicate their relative magnitudes) when the cart is moving: (a) on a horizontal track (b) up a track inclined at an angle theta

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12-11-2019
Physics

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A cart is attached to a hanging mass by a string that passes over a pulley. Draw free-body diagrams for the cart and the hanging mass. (clearly label all forces present and indicate their relative magnitudes) when the cart is moving: (a) on a horizontal track (b) up a track inclined at an angle theta

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codedmog101 codedmog101 · Answer 1 · 2019-11-12T23:31:25+01:00

codedmog101 codedmog101

12-11-2019

Answer:

Check attached file

Explanation:

For the hanging mass

m1, no force(s) is/are acting in the horizontal direction. In the vertical direction it is pulled downward by gravity. So, the object weight, w is;

W = m1g

Newton's second law applied to the hanging mass, m1.

There is zero motion of the cart in the vertical direction. Them, we can say that the net force in the vertical direction is zero. In the horizontal direction, the tension in the string acts in the

+y pathway on the cart.

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bhoopendrasisodiya34 bhoopendrasisodiya34 · Answer 2 · 2022-02-23T07:51:59+01:00

The free body diagram of the cart which is moving on track with hanging mass is attached below as first for horizontal surface and second for inclined surface.

What is free body diagram?

Free body diagram is the diagram used to represent the magnitude and the direction of all the forces acting on a body for a given scenario.

Here, in the given situation the cart is attached to a hanging mass by a string that passes over a pulley.

(a) Free body diagram when the cart is moving on a horizontal track-

As the car is moving on a horizontal track. The hanging mass will be under the force of acceleration, which is equal to the mass times gravity force as shown in the first free body diagram.

This acceleration force is equal to the force in the horizontal direction which the cart is moving on the horizontal track.

(b) Free body diagram when the cart is moving up a track inclined at an angle theta-

As the car is moving on a inclined track with angel theta as shown in the second free body diagram. Thus the normal force acting on the cart will be in at a angle.

The force due to the weight of the cart is applied on the cart in the downward direction and the force of acceleration is on the hanging body.

Thus, the free body diagram of the cart which is moving on track with hanging mass is attached below as first for horizontal surface and second for inclined surface.

Learn more about the free body diagram here

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